5(6x+5)=3(5x-2)

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Solution for 5(6x+5)=3(5x-2) equation:


Simplifying
5(6x + 5) = 3(5x + -2)

Reorder the terms:
5(5 + 6x) = 3(5x + -2)
(5 * 5 + 6x * 5) = 3(5x + -2)
(25 + 30x) = 3(5x + -2)

Reorder the terms:
25 + 30x = 3(-2 + 5x)
25 + 30x = (-2 * 3 + 5x * 3)
25 + 30x = (-6 + 15x)

Solving
25 + 30x = -6 + 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.
25 + 30x + -15x = -6 + 15x + -15x

Combine like terms: 30x + -15x = 15x
25 + 15x = -6 + 15x + -15x

Combine like terms: 15x + -15x = 0
25 + 15x = -6 + 0
25 + 15x = -6

Add '-25' to each side of the equation.
25 + -25 + 15x = -6 + -25

Combine like terms: 25 + -25 = 0
0 + 15x = -6 + -25
15x = -6 + -25

Combine like terms: -6 + -25 = -31
15x = -31

Divide each side by '15'.
x = -2.066666667

Simplifying
x = -2.066666667

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